11832 has 32 divisors (see below), whose sum is σ = 32400. Its totient is φ = 3584.

The previous prime is 11831. The next prime is 11833. The reversal of 11832 is 23811.

It is a happy number.

11832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

11832 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (11831) and next prime (11833).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394 + ... + 422.

2¹¹⁸³² is an apocalyptic number.

11832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16200).

11832 is an abundant number, since it is smaller than the sum of its proper divisors (20568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11832 is a wasteful number, since it uses less digits than its factorization.

11832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 51 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 11832 is about 108.7749971271. The cubic root of 11832 is about 22.7869423540.

The spelling of 11832 in words is "eleven thousand, eight hundred thirty-two".